Two consecutive integers have a sum of 75. Find the integers.

37 and 38

Step-by-step explanation:

let the consecutive integers be x-1 and x

If their sum is 75

x-1+x = 75

2x - 1 = 75

2x = 75+1

2x = 76

x = 76/2

x = 38

First integer = x - 1

First integer = 38-1 = 37

Second integer is 38

Hence the integers are 37 and 38

Correct h₆ = 0.192 m = 19.2 cm

Step-by-step explanation:

First height is   h₁ = 71% h = 0.71 h

Second height is  h₂ = 0.71 h₁ = 0.71 (0.71 h) = 0.71² h

Third height is  h₃ = 0.71 h₂ = 0.71 (0.71² h) = 0.71³ h

and so on

hₙ = 0.71ⁿ · h

according to this

h₆ = 0.71⁶ h = 0.1281 · 1.5 = 0.192 m = 19.2 cm

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